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We investigate the weak-strong coupling transition of two linearly coupled systems under the influence of a phase fluctuating coupling. In the weak coupling regime the exponential decay of quantum properties is well known. A different…

Quantum Physics · Physics 2013-11-13 Dagoberto S. Freitas , M. C. Nemes

We study Bose-Einstein condensation phenomenon in a two-dimensional (2D) system of bosons subjected to an harmonic oscillator type confining potential. The interaction among the 2D bosons is described by a delta-function in configuration…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders and non-interacting electrons behaves in a way similar to that of the single parametric Brownian ensembles…

Statistical Mechanics · Physics 2009-11-10 Pragya Shukla

We discuss the transition from a fully decoherent to a (quasi-)condensate regime in a harmonically trapped weakly interacting 1D Bose gas. By using analytic approaches and verifying them against exact numerical solutions, we find a…

Atomic Physics · Physics 2013-05-29 Isabelle Bouchoule , Karen V. Kheruntsyan , Gora Shlyapnikov

We consider a few number of identical bosons trapped in a 2D isotropic harmonic potential and also the $N$-boson system when it is feasible. The atom-atom interaction is modelled by means of a finite-range Gaussian interaction. The spectral…

Quantum Gases · Physics 2017-10-25 Pere Mujal , Enric Sarlé , Artur Polls , Bruno Juliá-Díaz

We investigate the collective excitations of a single-species Bose gas at T=0 in a harmonic trap where the confinement undergoes some splitting along one spatial direction. We mostly consider onedimensional potentials consisting of two…

Condensed Matter · Physics 2009-10-31 P. Capuzzi , E. S. Hernandez

We review the phenomenon of equilibrium fluctuations in the number of condensed atoms in a trap containing N atoms total. We start with a history of the Bose-Einstein distribution, the Einstein-Uhlenbeck debate concerning the rounding of…

We study the interplay between the single particle and fermion pair features in the boson fermion model, both above and below the transition temperature $T_{c}$, using the flow equation method. Upon lowering the temperature the single…

Superconductivity · Physics 2009-11-10 T. Domanski , J. Ranninger

In this article we introduce a multi-modal variational method to analytically estimate the full number- and corresponding energy-density profile of a spin-1 Bose-Einstein condensate (BEC) for a number of particles as low as 500 under…

Quantum Gases · Physics 2023-01-18 Projjwal K. Kanjilal , A. Bhattacharyay

We examine the lowest excitations of one-dimensional few-boson systems trapped in double wells of variable barrier height. Based on a numerically exact multi-configurational method, we follow the whole pathway from the non-interacting to…

Other Condensed Matter · Physics 2007-05-23 Sascha Zöllner , Hans-Dieter Meyer , Peter Schmelcher

We study the ground state pair-correlation properties of a weakly interacting trapped Bose gas in three dimension by using a correlated many-body method. Use of the van der Waals interaction potential and an external trapping potential…

Quantum Gases · Physics 2015-03-13 Anindya Biswas , Barnali Chakrabarti , Tapan Kumar Das

Previously we numerically showed that thermalization can occur in an oscillating Bose-Einstein condensate (BEC) with a disordered harmonic trap when healing length $\xi$ of the condensate is shorter than the correlation length $\sigma_{D}$…

Quantum Gases · Physics 2018-07-31 Che-Hsiu Hsueh , Makoto Tsubota , Wen-Chin Wu

Thermodynamics properties of an interacting system of bosons are considered at finite temperatures and zero chemical potential within the Skyrme-like mean-field model. An interplay between attractive and repulsive interactions is…

High Energy Physics - Phenomenology · Physics 2021-05-26 O. S. Stashko , D. V. Anchishkin , O. V. Savchuk , M. I. Gorenstein

The energy band structure and energy splitting due to quantum tunneling in two weakly linked Bose-Einstein condensates were calculated by using the instanton method. The intrinsic coherent properties of Bose Josephson junction were…

Soft Condensed Matter · Physics 2009-11-10 Wei-Dong Li , Yunbo Zhang , J. -Q. Liang

A self-consistent model of the superfluid (SF) state of a Bose liquid with strong interaction between bosons is considered, in which at T=0, along with a weak single-particle Bose-Einstein condensate (BEC), there exists an intensive pair…

Soft Condensed Matter · Physics 2007-05-23 E. A. Pashitskii , S. V. Mashkevich , S. I. Vilchynskyy

We calculate the spatially resolved optical emission spectrum of a weakly interacting Bose gas of excitons confined in a three dimensional potential trap due to interband transitions involving weak direct and phonon mediated exciton-photon…

Quantum Gases · Physics 2010-02-10 Heinrich Stolz , Dirk Semkat

The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and…

Among the fundamental symmetry classes of quantum chaotic systems in Dyson's threefold way, the symplectic class is rarely observed in nature. Characterized by the strongest possible level repulsion in the energy spectrum, the symplectic…

Quantum Gases · Physics 2025-12-15 Alex D. Kerin , Barbara Dietz , Joachim Brand

We theoretically investigate collective modes of a one-dimensional (1D) interacting Bose gas in harmonic traps at finite temperatures, by using a variational approach and local density approximation. We find that the temperature dependence…

Quantum Gases · Physics 2015-01-23 Hui Hu , Gao Xianlong , Xia-Ji Liu